Genus-4 Gold family y²+y = λ9x⁹+λ5x⁵+λ3x³+λ1x over F_{2^k}: the canonical degree-28 polynomial B with L' = x⁸B²+B+1, the coset-sum theorem for Z/4 Gauss sums, the quadratic-form torsor on K = F₂⁶ (28 Arf-1 + 36 Arf-0 points), trace parity, Sp6(F2) Frobenius types. Paper, Python code, data. DOI 10.5281/zenodo.23306002
python latex finite-fields number-theory frobenius quadratic-forms computational-number-theory characteristic-2 witt-vectors monodromy gauss-sums supersingular-curves artin-schreier-curves linearised-polynomials symplectic-group brown-invariant arf-invariant sp6-f2 ore-polynomials gold-functions
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Oct 11, 2026 - Python